11415306240 has 480 divisors, whose sum is σ = 43818653760. Its totient is φ = 2802843648.

The previous prime is 11415306239. The next prime is 11415306263. The reversal of 11415306240 is 4260351411.

It is a happy number.

11415306240 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 30 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28753722 + ... + 28754118.

It is an arithmetic number, because the mean of its divisors is an integer number (91288862).

Almost surely, 2^11415306240 is an apocalyptic number.

11415306240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11415306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909326880).

11415306240 is an abundant number, since it is smaller than the sum of its proper divisors (32403347520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11415306240 is an equidigital number, since it uses as much as digits as its factorization.

11415306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11415306240 its reverse (4260351411), we get a palindrome (15675657651).

The spelling of 11415306240 in words is "eleven billion, four hundred fifteen million, three hundred six thousand, two hundred forty".